Inverse Cauchy problem for fractional diffusion equation with generalized functions in the right-hand sides

We establish the unique solvability of the inverse Cauchy problem for a time fractional diffusion equation with distributions in the right-hand sides of the equation and in the initial condition. This problem is to find the pair of the following functions: the generalized solution (continuous in tim...

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Bibliographic Details
Date:2016
Main Authors: Lopushanska, G. P., Rapita, V. R., Лопушанська, Г. П., Рапіта, В. Р.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2016
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/214
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine